{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2ec5dd4",
   "metadata": {},
   "source": [
    "# DAY57"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb78266b",
   "metadata": {},
   "source": [
    "昨天说了数据的检验，需要做自相关性检验、平稳性检验、季节性检验。\n",
    "我们用了三种核心的诊断工具：\n",
    "\n",
    "1. 自相关性检验 (ACF/PACF图)：检查数据点之间是否存在内在的、延迟的关联。\n",
    "2. 平稳性检验 (ADF检验)：判断数据的统计特性（如均值、方差）是否随时间改变。\n",
    "3. 季节性检验 (肉眼观察或季节性分解)：识别数据中是否存在固定的周期性波动。\n",
    "\n",
    "\n",
    "那么如果数据存在某些特性需要如何处理呢？\n",
    "\n",
    "我们的核心目标是让数据变得平稳。为什么平稳性如此重要？因为绝大多数经典的时间序列模型（比如ARIMA模型）都建立在一个基本假设之上：数据的统计特性是恒定的。如果数据不平稳，就像一个人的脾气阴晴不定，模型就很难抓住其规律，预测自然也就不准了。\n",
    "\n",
    "我们今天会针对两大“病症”进行处理：非平稳性和季节性。而自相关性，我们则需要换个思路，它不是一个要消除的“病症”，反而是我们要利用的“特征”，我们最后会讲到。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "234d8a51",
   "metadata": {},
   "source": [
    "# 一、序列数据的处理"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e36a3d22",
   "metadata": {},
   "source": [
    "## 处理非平稳性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9849952",
   "metadata": {},
   "source": [
    "通过昨天的ADF检验，我们发现p值显著大于0.05，这表明数据是非平稳的。通常，这意味着数据存在趋势（Trend），比如股价长期来看在上涨，或者销量逐年递增。\n",
    "\n",
    "核心疗法：差分 (Differencing)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18c0b7b8",
   "metadata": {},
   "source": [
    "差分是解决趋势性问题的最强有力的工具。它的思想非常简单：用后一个时间点的值减去前一个时间点的值。这样做的效果是，它消除了数据在“水平”上的变化，转而关注数据“变化的速度”。  \n",
    "\n",
    "\n",
    "一阶差分  \n",
    "$$\\text{diff}_1 = y_t - y_{t-1}$$  \n",
    "这通常能有效地消除线性的趋势。  \n",
    "\n",
    "\n",
    "如果一阶差分后数据仍然不平稳怎么办？那就再做一次！  \n",
    "\n",
    "二阶差分  \n",
    "$$\\text{diff}_2 = \\text{diff}_{1_t} - \\text{diff}_{1_{t-1}} = (y_t - y_{t-1}) - (y_{t-1} - y_{t-2})$$  \n",
    "这可以处理更复杂的（例如，曲线形的）趋势。  \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6a0d2a6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "\n",
    "# 设置中文字体，防止matplotlib显示乱码\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# 1. 生成一段非平稳数据（随机游走+趋势）\n",
    "np.random.seed(42)\n",
    "# 随机游走部分\n",
    "random_walk = np.random.randn(500).cumsum() # 累积和生成随机游走\n",
    "# 添加一个线性趋势\n",
    "trend = np.linspace(0, 100, 500)\n",
    "# 合成我们的时序数据\n",
    "data = pd.Series(random_walk + trend)\n",
    "data.index = pd.date_range(start='2022-01-01', periods=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c8c4adf",
   "metadata": {},
   "source": [
    "随机游走（Random Walk）是一种数学模型，常用于描述随机过程中的路径变化。在随机游走模型中，每一步的方向和大小都是随机确定的，且与之前的步骤相互独立。这种模型可以用来模拟股票价格、分子运动、赌博结果等具有不确定性的现象。\n",
    "\n",
    "上述代码为了合成一个具有趋势性和随机性的时间序列，它结合了随机游走和线性趋势的特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "eac9a492",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '原始数据（有明显趋势）')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2. 诊断原始数据\n",
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "plt.plot(data)\n",
    "plt.title('原始数据（有明显趋势）')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "b0c40e2e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始数据的ADF检验结果:\n",
      "  ADF Statistic: 0.13578365336168233\n",
      "  p-value: 0.9684209812957272\n"
     ]
    }
   ],
   "source": [
    "# ADF检验\n",
    "adf_result_original = adfuller(data)\n",
    "print(f'原始数据的ADF检验结果:')\n",
    "print(f'  ADF Statistic: {adf_result_original[0]}')\n",
    "print(f'  p-value: {adf_result_original[1]}') # p-value会非常大，说明是非平稳的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c189f4de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "一阶差分后数据的ADF检验结果:\n",
      "  ADF Statistic: -22.313025583815016\n",
      "  p-value: 0.0\n"
     ]
    }
   ],
   "source": [
    "# 3. 进行一阶差分治疗\n",
    "data_diff = data.diff().dropna() # .diff()进行差分, .dropna()移除第一个NaN值\n",
    "\n",
    "\n",
    "plt.plot(data_diff)\n",
    "plt.title('一阶差分后的数据')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 4. 诊断“治疗后”的数据\n",
    "adf_result_diff = adfuller(data_diff)\n",
    "print(f'一阶差分后数据的ADF检验结果:')\n",
    "print(f'  ADF Statistic: {adf_result_diff[0]}')\n",
    "print(f'  p-value: {adf_result_diff[1]}') # p-value会变得非常小，说明数据变平稳了\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a269d65",
   "metadata": {},
   "source": [
    "我们使用了data.diff()进行了一阶差分。从图中可以清晰地看到，原本一路向上的趋势消失了，数据开始围绕一个固定的均值（0附近）波动。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a62c875a",
   "metadata": {},
   "source": [
    "## 处理季节性"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ea73ed0",
   "metadata": {},
   "source": [
    "通过观察图像或季节性分解，我们发现数据存在以年、季度或月为单位的固定周期性波动。\n",
    "\n",
    "核心疗法：季节性差分 (Seasonal Differencing)\n",
    "\n",
    "思想和普通差分非常类似，但不是减去上一个值，而是减去上一个周期的对应值。\n",
    "\n",
    "季节性差分公式如下：  \n",
    "\n",
    " \n",
    "$$\\text{seasonal\\_diff} = y_t - y_{t-s}$$  \n",
    "\n",
    "其中 \\( s \\) 是季节性周期。例如：  \n",
    "- 对于月度数据，年度季节性周期 \\( s = 12 \\)；  \n",
    "- 对于季度数据，年度季节性周期 \\( s = 4 \\)。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8d4277e",
   "metadata": {},
   "source": [
    "下面生成一段带有明显季节性特征的数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fbbd1c65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原始季节性数据的p-value: 0.9918566279818364\n",
      "季节性差分后数据的p-value: 4.596236388830458e-12\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "# 1. 生成一段有季节性的数据\n",
    "# 假设是4年的月度数据，周期为12\n",
    "time_index = pd.date_range(start='2020-01-01', periods=48, freq='M')\n",
    "# 季节性成分（用sin函数模拟）\n",
    "seasonal_component = np.sin(np.arange(48) * (2 * np.pi / 12)) * 10 # 振幅为10，周期为12个月，sin函数模拟季节性波动\n",
    "# 趋势成分\n",
    "trend_component = np.linspace(0, 20, 48) # linspace函数为生成0到20的线性趋势，包含48个点\n",
    "# 随机噪声\n",
    "noise = np.random.randn(48) * 2\n",
    "\n",
    "# 合成数据\n",
    "seasonal_data = pd.Series(seasonal_component + trend_component + noise, index=time_index)\n",
    "\n",
    "# 2. 观察原始数据\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.subplot(211)\n",
    "plt.plot(seasonal_data)\n",
    "plt.title('原始季节性数据')\n",
    "\n",
    "# 3. 进行季节性差分（周期s=12）\n",
    "seasonal_data_diff = seasonal_data.diff(periods=12).dropna()\n",
    "\n",
    "plt.subplot(212)\n",
    "plt.plot(seasonal_data_diff)\n",
    "plt.title('季节性差分后 (s=12) 的数据')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 4. 检查差分后的平稳性\n",
    "# 注意：原始数据因为有趋势，肯定不平稳。季节性差分通常也能消除一部分趋势。\n",
    "adf_result_original = adfuller(seasonal_data)\n",
    "print(f'原始季节性数据的p-value: {adf_result_original[1]}')\n",
    "\n",
    "adf_result_seasonal_diff = adfuller(seasonal_data_diff)\n",
    "print(f'季节性差分后数据的p-value: {adf_result_seasonal_diff[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56476d35",
   "metadata": {},
   "source": [
    "我们使用 seasonal_data.diff(periods=12)，这表示每个数据点都减去它12个月前的值。从图中可以看到，规律的波峰和波谷被“拉平”了，季节性特征被有效地移除了。\n",
    "\n",
    "ADF检验的p值同样会从一个较大的值（因为原始数据含趋势）显著降低，证明数据在季节性差分后变得更加平稳。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea255267",
   "metadata": {},
   "source": [
    "如果数据既有趋势又有季节性，通常可以先做季节性差分，再对结果做一阶差分。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cceefbe",
   "metadata": {},
   "source": [
    "目前已经学会了如何通过差分来“驯服”那些不平稳和有季节性的数据，让它们变得温顺（平稳）。\n",
    "\n",
    "现在，我们手上拿到了一份“健康”的平稳数据。接下来要做的，就是为它选择一个合适的模型。我们来深入了解时间序列预测的三大基石模型：AR、MA 和 ARMA。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b53248e7",
   "metadata": {},
   "source": [
    "模型的选择，依赖这些因素：\n",
    "1. ACF 图 (自相关图)：衡量一个值和它所有过去值之间的关系，不管这些关系是直接的还是间接的。比如，Yt 和 Yt-2 的关系，也包含了 Yt-1 作为中间人的“传话效应”。\n",
    "2. PACF 图 (偏自相关图)：只衡量一个值和它某个过去值之间的直接、纯粹的关系，排除了所有“中间人”的干扰。它回答的是：“在剔除了 Yt-1 的影响后, Yt-2 对 Yt 还有多少直接影响力？”"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a5a32c4",
   "metadata": {},
   "source": [
    "# 二、模型的选择"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83248aaa",
   "metadata": {},
   "source": [
    "## 2.1 AR模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa862654",
   "metadata": {},
   "source": [
    "AR模型 (Autoregressive Model) - “惯性模型”，全称自回归模型，是这三个模型中最直观的一个。\n",
    "\n",
    "核心思想：未来是过去的延伸。一个时间点的值，很大程度上是由它紧邻的前几个时间点的值决定的。它认为时间序列数据具有一种“惯性”或“记忆性”。比如一只股票如果连续几天上涨，形成上涨趋势，那么它今天的价格也很有可能受到前几天价格的积极影响。\n",
    "\n",
    "AR(p) 模型：表示当前值 Yt 只与它过去的 p 个值 (Yt-1, Yt-2, …, Yt-p) 有关。p 被称为模型的“阶数”\n"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "2f9fe1b8",
   "metadata": {},
   "source": [
    "当一个序列的“惯性”是其主要特征时，AR模型是最佳选择。我们用侦探工具来判断：\n",
    "\n",
    "技术指标：\n",
    "1. PACF 图呈现“截尾” (Cuts off)：偏自相关图在延迟 p 阶之后，突然断崖式地落入置信区间。这说明，只有前 p 个时期的值对当前值有直接影响，更久远的影响几乎为零。\n",
    "2. ACF 图呈现“拖尾” (Tails off)：自相关图的相关系数是缓慢、指数级下降的。这是因为 Yt-1 影响 Yt，Yt-2 影响 Yt-1，这种影响会像涟漪一样传递下去，导致ACF图缓慢衰减。\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "78df9475",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f5c43f6",
   "metadata": {},
   "source": [
    "AR 模型更适合进行短期预测。因为随着预测期的延长，模型对过去值的依赖会导致误差不断累积，预测的准确性会逐渐降低。比如预测未来几天的气温，AR 模型可以利用过去几天的气温数据进行相对准确的短期预测。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8334d9aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 案例一：AR(2)模型 - 湖水温度 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x900 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.arima_process import ArmaProcess\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "\n",
    "# 设置中文字体，防止matplotlib显示乱码\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# --- AR(2) 案例：湖水温度 ---\n",
    "print(\"--- 案例一：AR(2)模型 - 湖水温度 ---\")\n",
    "\n",
    "# 1.1 生成AR(2)时间序列数据\n",
    "# AR(2)模型结构：X_t = 0.7*X_{t-1} + 0.2*X_{t-2} + ε_t\n",
    "# 其中ε_t是白噪声，系数0.7和0.2控制了前两期对当前值的影响程度\n",
    "ar_params = np.array([0.7, 0.2])  # AR系数：φ₁=0.7, φ₂=0.2\n",
    "ma_params = np.array([])          # MA部分为空（纯AR模型）\n",
    "\n",
    "# 转换为statsmodels要求的格式：\n",
    "# AR系数需添加首项1并取负，即 [1, -φ₁, -φ₂]\n",
    "ar_coeffs = np.r_[1, -ar_params]  # 生成 [1, -0.7, -0.2]\n",
    "# MA系数需添加首项1，即 [1, θ₁, θ₂, ...]\n",
    "ma_coeffs = np.r_[1, ma_params]   # 生成 [1.]\n",
    "\n",
    "# 创建AR(2)过程实例\n",
    "ar_process = ArmaProcess(ar=ar_coeffs, ma=ma_coeffs)\n",
    "\n",
    "# 生成500个样本点，模拟500天的湖水温度数据\n",
    "# 设置随机种子确保结果可复现\n",
    "np.random.seed(100)\n",
    "ar_data = ar_process.generate_sample(nsample=500)\n",
    "\n",
    "# 1.2 时间序列分析的\"侦探工作\"：通过可视化初步诊断模型阶数\n",
    "fig, axes = plt.subplots(3, 1, figsize=(10, 9))\n",
    "\n",
    "# 1.2.1 绘制原始时间序列图\n",
    "axes[0].plot(ar_data)\n",
    "axes[0].set_title('模拟的湖水温度数据 (AR(2)过程)')\n",
    "axes[0].set_ylabel('温度值')\n",
    "# 关键点：观察数据是否具有平稳性特征（均值和方差是否随时间变化）\n",
    "\n",
    "# 1.2.2 绘制自相关函数(ACF)图 - 衡量序列与其滞后值的相关性\n",
    "plot_acf(ar_data, ax=axes[1], lags=20, title='自相关函数 (ACF)')\n",
    "# 关键点：AR(p)模型的ACF会呈现指数衰减或周期性衰减\n",
    "# 这里我们应该看到ACF在滞后2阶后显著下降\n",
    "\n",
    "# 1.2.3 绘制偏自相关函数(PACF)图 - 控制了中间滞后项后的相关性\n",
    "plot_pacf(ar_data, ax=axes[2], lags=20, title='偏自相关函数 (PACF)')\n",
    "# 关键点：AR(p)模型的PACF会在p阶后截断（变为不显著）\n",
    "# 这里我们应该看到PACF在滞后2阶后截断，辅助确认p=2\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f3aaf7a",
   "metadata": {},
   "source": [
    "1. 截尾（Cut-off）\n",
    "定义：函数值在某一阶数后突然变为 0（或在置信区间内），且之后几乎不再显著不为 0。\n",
    "\n",
    "特点：存在一个明确的 “截断点”，超过该点后相关性骤降为零。\n",
    "\n",
    "示例：若 ACF 在 k=2 阶后的值接近 0，则称 ACF 在 2 阶截尾。\n",
    "\n",
    "2. 拖尾（Tail-off）\n",
    "定义：函数值随阶数增加逐渐衰减（如指数衰减、振荡衰减），但始终不降至 0，呈现 “拖曳” 趋势。\n",
    "\n",
    "特点：无明确截断点，相关性缓慢减弱，但长期保持非零。\n",
    "\n",
    "示例：若 PACF 的值从 k=1 阶开始逐渐趋近于 0，但始终大于 0，则称 PACF 拖尾。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b47dccb",
   "metadata": {},
   "source": [
    "- PACF图 (偏自相关图)：这是我们的关键证据！可以看到，在滞后1和2阶，柱子非常显著。但在2阶之后，几乎所有柱子都突然“截断”，掉入了蓝色置信区间。 这说明，只有前两天的温度对今天有直接影响。 PACF在2阶截尾 -> 强烈暗示 p=2。\n",
    "- ACF图 (自相关图)：柱子是缓慢衰减的，呈现一种“拖尾”形态。这符合我们对“惯性”的理解，影响会层层传递下去。ACF拖尾，验证了AR模型的猜想。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58678d93",
   "metadata": {},
   "source": [
    "所以ar模型适合自回归的场景"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c81119ab",
   "metadata": {},
   "source": [
    "我们的诊断是AR(2)，即 ARIMA(2,0,0)。我们来验证一下。\n",
    "\n",
    "ARIMA(p，d，q)其中包含3个参数，ARIMA(ar_data, order=(2, 0, 0))等价于AR(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "63d4c8a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "AR(2)模型诊断报告:\n",
      "                               SARIMAX Results                                \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   No. Observations:                  500\n",
      "Model:                 ARIMA(2, 0, 0)   Log Likelihood                -724.007\n",
      "Date:                Thu, 26 Jun 2025   AIC                           1456.014\n",
      "Time:                        23:22:20   BIC                           1472.873\n",
      "Sample:                             0   HQIC                          1462.629\n",
      "                                - 500                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0971      0.578     -0.168      0.867      -1.231       1.036\n",
      "ar.L1          0.6557      0.042     15.552      0.000       0.573       0.738\n",
      "ar.L2          0.2646      0.043      6.096      0.000       0.180       0.350\n",
      "sigma2         1.0562      0.066     16.075      0.000       0.927       1.185\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                   0.04   Jarque-Bera (JB):                 3.45\n",
      "Prob(Q):                              0.84   Prob(JB):                         0.18\n",
      "Heteroskedasticity (H):               0.96   Skew:                             0.19\n",
      "Prob(H) (two-sided):                  0.79   Kurtosis:                         3.15\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "# 1.3 根据ACF/PACF图的诊断，建立ARIMA(2,0,0)模型\n",
    "model_ar = ARIMA(ar_data, order=(2, 0, 0)).fit()\n",
    "print(\"\\nAR(2)模型诊断报告:\")\n",
    "print(model_ar.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a13c51d5",
   "metadata": {},
   "source": [
    "这个表的结果让ai帮助你们解读，信息比较多\n",
    "\n",
    "系数显著：模型准确地识别出前两阶的自回归关系是统计上显著的，并且学习到的系数值（0.66, 0.26）与真实值（0.7, 0.2）非常接近。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "584efee5",
   "metadata": {},
   "source": [
    "## 2.2 MA模型"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "0a74fc01",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)\n",
    "\n",
    "数据的波动是由短期冲击引起的（而非历史观测值），且冲击影响会随时间衰减。例如：突发事件（罢工、自然灾害）对生产的影响、测量误差。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1123acdb",
   "metadata": {},
   "source": [
    "假设一条生产线非常稳定，但偶尔会因为工人操作失误或机器小故障（这些都是随机冲击/误差）导致当天的产量出现波动。这个冲击的影响可能只会持续一两天。我们来创建一个MA(2)过程。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2a47ab42",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "---------------------------------------------\n",
      "--- 案例二：MA(2)模型 - 生产线意外 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x900 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- MA(2) 案例：生产线意外 ---\n",
    "print(\"\\n\" + \"---\"*15)\n",
    "print(\"--- 案例二：MA(2)模型 - 生产线意外 ---\")\n",
    "\n",
    "\"\"\"\n",
    "=====================\n",
    "2.1 生成MA(2)时间序列\n",
    "=====================\n",
    "MA(2)模型数学表达式：y_t = ε_t + θ₁ε_{t-1} + θ₂ε_{t-2}\n",
    "- 当前值由当前及前两期的随机冲击（ε）线性组合而成\n",
    "- 适用于捕捉短期冲击对序列的影响（如生产线故障、原料短缺）\n",
    "\"\"\"\n",
    "# AR部分参数：因无自回归项\n",
    "ar_params = np.array([])  \n",
    "# MA部分参数：0.8和0.4分别是前两期冲击的权重\n",
    "ma_params = np.array([0.8, 0.4])  \n",
    "\n",
    "# 生成MA(2)过程：直接传入AR和MA系数数组（注意无参数名）\n",
    "ma_process = ArmaProcess.from_coeffs(ar_params, ma_params)\n",
    "\n",
    "# 设置随机种子保证结果可复现，生成500个样本点\n",
    "np.random.seed(200)\n",
    "ma_data = ma_process.generate_sample(nsample=500)\n",
    "\n",
    "\n",
    "\"\"\"\n",
    "============================\n",
    "2.2 可视化分析时间序列特征\n",
    "============================\n",
    "通过观察ACF和PACF图判断模型阶数：\n",
    "- MA(q)模型的ACF应在q阶后截尾（本例q=2）\n",
    "- PACF应呈现拖尾特征（与AR模型区分）\n",
    "\"\"\"\n",
    "# 创建3个子图：时间序列图、ACF图、PACF图\n",
    "fig, axes = plt.subplots(3, 1, figsize=(10, 9))\n",
    "\n",
    "# 绘制时间序列图：展示生产线产量波动\n",
    "axes[0].plot(ma_data)\n",
    "axes[0].set_title('模拟的生产线产量波动 (MA(2)过程)')\n",
    "axes[0].set_xlabel('时间点')\n",
    "axes[0].set_ylabel('产量波动值')\n",
    "\n",
    "# 绘制自相关函数(ACF)图：观察序列相关性衰减模式\n",
    "plot_acf(ma_data, ax=axes[1], lags=20, title='自相关函数 (ACF)')\n",
    "# 理论预期：MA(2)的ACF应在2阶后截尾（相关性骤降为0）\n",
    "\n",
    "# 绘制偏自相关函数(PACF)图：剔除中间变量影响的直接相关性\n",
    "plot_pacf(ma_data, ax=axes[2], lags=20, title='偏自相关函数 (PACF)')\n",
    "# 理论预期：MA(2)的PACF应呈现拖尾（指数或振荡衰减）\n",
    "\n",
    "# 优化子图布局，避免重叠\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf0a3829",
   "metadata": {},
   "source": [
    "- ACF图 (自相关图)：这次轮到ACF图提供关键线索了！可以看到，在滞后1和2阶，柱子非常显著。但在2阶之后，柱子突然“截断”，掉入了置信区间。 这说明，一个随机冲击的影响最多只持续2天。ACF在2阶截尾 -> 强烈暗示 q=2。\n",
    "- PACF图 (偏自相关图)：柱子呈现出缓慢衰减的“拖尾”形态。PACF拖尾，验证了MA模型的猜想。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b584eab6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "MA(2)模型诊断报告:\n",
      "                               SARIMAX Results                                \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   No. Observations:                  500\n",
      "Model:                 ARIMA(0, 0, 2)   Log Likelihood                -704.426\n",
      "Date:                Thu, 26 Jun 2025   AIC                           1416.852\n",
      "Time:                        23:26:03   BIC                           1433.710\n",
      "Sample:                             0   HQIC                          1423.467\n",
      "                                - 500                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const          0.0582      0.100      0.584      0.559      -0.137       0.253\n",
      "ma.L1          0.8252      0.041     19.978      0.000       0.744       0.906\n",
      "ma.L2          0.4180      0.041     10.099      0.000       0.337       0.499\n",
      "sigma2         0.9785      0.063     15.604      0.000       0.856       1.101\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                   0.42   Jarque-Bera (JB):                 0.01\n",
      "Prob(Q):                              0.51   Prob(JB):                         0.99\n",
      "Heteroskedasticity (H):               1.08   Skew:                            -0.01\n",
      "Prob(H) (two-sided):                  0.62   Kurtosis:                         2.99\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "# 2.3 根据ACF/PACF图的诊断，建立ARIMA(0,0,2)模型\n",
    "model_ma = ARIMA(ma_data, order=(0, 0, 2)).fit()\n",
    "print(\"\\nMA(2)模型诊断报告:\")\n",
    "print(model_ma.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93ab12e1",
   "metadata": {},
   "source": [
    "型报告中，ma.L1的系数约为0.8，ma.L2的系数约为0.4，和我们设定的参数高度吻合！p值也都极其显著。再次成功破案！"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d464008f",
   "metadata": {},
   "source": [
    "## 2.3 ARMA模型 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83d0297e",
   "metadata": {},
   "source": [
    "现实世界中，很多情况是混合的。比如公司月度销售额，既有上个月业绩带来的惯性（AR成分），又会受到某次市场推广活动或负面新闻的短期冲击（MA成分）。我们来创建一个ARMA(1,1)过程。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "4d99fb59",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "---------------------------------------------\n",
      "--- 案例三：ARMA(1,1)模型 - 公司月度销售 ---\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x900 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- ARMA(1,1) 案例：公司月度销售 ---\n",
    "print(\"\\n\" + \"---\"*15)\n",
    "print(\"--- 案例三：ARMA(1,1)模型 - 公司月度销售 ---\")\n",
    "\n",
    "# 3.1 我们来“创造”一个ARMA(1,1)过程\n",
    "# 修复：直接传入系数数组，并确保包含常数项\n",
    "ar_params = np.array([1, -0.8])  # AR部分: [1, -φ1]\n",
    "ma_params = np.array([1, 0.5])   # MA部分: [1, θ1]\n",
    "\n",
    "# 正确调用方式：直接传入系数数组，不使用参数名\n",
    "arma_process = ArmaProcess.from_coeffs(ar_params, ma_params)\n",
    "\n",
    "np.random.seed(300)\n",
    "arma_data = arma_process.generate_sample(nsample=500)\n",
    "\n",
    "# 3.2 作为“侦探”，我们观察数据和ACF/PACF图\n",
    "fig, axes = plt.subplots(3, 1, figsize=(10, 9))\n",
    "axes[0].plot(arma_data)\n",
    "axes[0].set_title('模拟的公司月度销售 (ARMA(1,1)过程)')\n",
    "plot_acf(arma_data, ax=axes[1], lags=20, title='自相关函数 (ACF)')\n",
    "plot_pacf(arma_data, ax=axes[2], lags=20, title='偏自相关函数 (PACF)')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d9b4ca2",
   "metadata": {},
   "source": [
    "- ACF图 和 PACF图：这次我们发现，情况变得复杂了。ACF图和PACF图都没有出现明显的“截尾”现象，两者的柱子都是缓慢衰减，呈现“拖尾”形态。\n",
    "解读：当两个图都拖尾时，这就是一个强烈的信号，说明数据背后的驱动力是混合的，既有AR成分，也有MA成分。\n",
    "\n",
    "- 定阶：对于ARMA模型，从图上直接确定p和q的精确值会比较困难。通常我们会从低阶开始尝试，比如(1,1), (2,1), (1,2)，然后结合后续的模型评估指标（如AIC, BIC）来选择最优的。但既然两个图都是拖尾，我们就先从最简单的ARMA(1,1)开始猜起。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "e9d49985",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "ARMA(1,1)模型诊断报告:\n",
      "                               SARIMAX Results                                \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   No. Observations:                  500\n",
      "Model:                 ARIMA(1, 0, 1)   Log Likelihood               -1058.680\n",
      "Date:                Thu, 26 Jun 2025   AIC                           2125.360\n",
      "Time:                        23:26:39   BIC                           2142.218\n",
      "Sample:                             0   HQIC                          2131.975\n",
      "                                - 500                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const          0.1610      0.393      0.410      0.682      -0.608       0.930\n",
      "ar.L1          0.5656      0.035     16.047      0.000       0.496       0.635\n",
      "ma.L1          0.8998      0.021     43.067      0.000       0.859       0.941\n",
      "sigma2         4.0193      0.241     16.654      0.000       3.546       4.492\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                  84.33   Jarque-Bera (JB):                 1.10\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.58\n",
      "Heteroskedasticity (H):               1.15   Skew:                            -0.03\n",
      "Prob(H) (two-sided):                  0.36   Kurtosis:                         3.22\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\Anaconda\\envs\\yolov5_new\\lib\\site-packages\\statsmodels\\tsa\\statespace\\sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n",
      "  warn('Non-invertible starting MA parameters found.'\n"
     ]
    }
   ],
   "source": [
    "# 3.3 根据ACF/PACF图的诊断，建立ARIMA(1,0,1)模型\n",
    "model_arma = ARIMA(arma_data, order=(1, 0, 1)).fit()\n",
    "print(\"\\nARMA(1,1)模型诊断报告:\")\n",
    "print(model_arma.summary())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cfd9449",
   "metadata": {},
   "source": [
    "模型报告中，ar.L1系数约为0.8，ma.L1系数约为0.5，都非常接近我们的设定值，且p值都为0.000。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "91c4630f",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)\n",
    "\n",
    "前提：以上所有判断都必须在数据平稳后进行！如果你的原始数据不平稳，请先做差分，然后对差分后的序列进行ACF/PACF分析。\n",
    "\n",
    "这正是我们最终要学习的 ARIMA(p, d, q) 模型的由来，将在明天学习。\n",
    "\n",
    "- AR(p): 自回归项，看PACF。\n",
    "- I(d): 差分阶数 (Integrated)，看我们为了让数据平稳做了几次差分。\n",
    "- MA(q): 移动平均项，看ACF。\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04bd47f2",
   "metadata": {},
   "source": [
    "# 总结\n",
    "\n",
    "- 非平稳性（趋势） -> 使用差分 (.diff())\n",
    "- 季节性 -> 使用季节性差分 (.diff(periods=s))\n",
    "- 自相关性 -> 不消除，而是利用 ACF/PACF图 来为后续的模型选择提供线索。\n",
    "\n",
    "- 截尾 (Cut off)：ACF或PACF图在某个延迟之后，相关系数突然变得非常小，几乎都在置信区间内。\n",
    "- 拖尾 (Tail off)：相关系数随着延迟增加而缓慢、指数级地衰减，而不是突然截断。\n",
    "- 如果ACF截尾，PACF拖尾 -> 考虑 MA(q) 模型。\n",
    "- 如果PACF截尾，ACF拖尾 -> 考虑 AR(p) 模型。\n",
    "- 如果ACF和PACF都拖尾，可能需要 ARMA(p, q) 模型。\n"
   ]
  }
 ],
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